So rare for a teacher to explain the difference between the material conditional and an implication, the latter of which is indeed a tautology. This is just one example among many as to why your lessons stand above most others. Bravo, sir! 😃
The explanation of reductio ad absurdum using conditionals makes so much sense! I struggled to understand why it worked for so long, and accepted it as a thing I had to memorize. This video made it suddenly click for me. Thank you!
That is normal :) Thanks a lot! It's a spiral for learning. You always come back to beginning to understand more and more! You can also ask questions in the community forum!
Your teachings are good But I think there's a mistake in conditional side where you were trying to prove that A ^ B =>B The third one on the table. If I'm wrong please let me know
How about thinking Reductio ad absurdum in this way? Reductio ad absurdam: (A->B) (A ^~B -> 0) example: we want to prove "Square root of 2 is not a rational number". In "(square root of 2) ^ (rational)" we can find that it is false. so the first statement is true.
Copied from Simple Eng Wikipedia: "...the statement 'I promise that if I am healthy, I will come to class' has four possibilities: 1.I am healthy, and I do come to class. I have kept my promise. 2.I am healthy, and I do not come to class. I have not kept my promise. 3.I am not healthy, and I do come to class. I have kept my promise. 4.I am not healthy, and I do not come to class. I have kept my promise. In the second scenario, the statement is false, since the promise is broken. In other scenarios, the statement is true, since the promise is kept."
So rare for a teacher to explain the difference between the material conditional and an implication, the latter of which is indeed a tautology. This is just one example among many as to why your lessons stand above most others. Bravo, sir! 😃
The explanation of reductio ad absurdum using conditionals makes so much sense! I struggled to understand why it worked for so long, and accepted it as a thing I had to memorize. This video made it suddenly click for me. Thank you!
Thank you very much! I am glad it helped you. And thanks for your support!
Thank you very much for the great content, you are a life saver.
Very nice videos!
Awesome video!
Why doesnt this guy have 10 millions subscribers seriously???
شكرا و جزاك الله خيرا
Thanks! From Wikipedia, reductio ad absurdum is Latin for "reduction to absurdity".
Amaizing work.
Remarkable! Thanks a lot. Danke!
Please continue when possible this series! :D
As an introduction series, it is already finished. Do you want a whole logic course?
@@brightsideofmaths oh hell yes sirrr
F, im already confused on video 3, mostly on the conditional bit but I'm just going to accept it 😭
Love the teaching style tho!
That is normal :) Thanks a lot! It's a spiral for learning. You always come back to beginning to understand more and more! You can also ask questions in the community forum!
1:44
double arrow means, that standard arrow (conditional) gives tautology
For some kind of reason it doesn't make sense for me without "that"
Your teachings are good
But I think there's a mistake in conditional side where you were trying to prove that A ^ B =>B
The third one on the table. If I'm wrong please let me know
Thanks a lot! Why do you think there is a mistake?
Where do you see T → F in the table at 2:18?@@refiloooe.kekanaaa3888
How about thinking Reductio ad absurdum in this way?
Reductio ad absurdam: (A->B) (A ^~B -> 0)
example: we want to prove "Square root of 2 is not a rational number". In "(square root of 2) ^ (rational)" we can find that it is false. so the first statement is true.
very helpful
At 1:05, why can we 'follow everything' if we start from false? What does that mean? Why is everything true when A is false? I still dont get it
You can read it as a definition. The implication should get the correct meaning of "if A then B"
@@brightsideofmathsstill not clear((
Copied from Simple Eng Wikipedia:
"...the statement 'I promise that if I am healthy, I will come to class' has four possibilities:
1.I am healthy, and I do come to class. I have kept my promise.
2.I am healthy, and I do not come to class. I have not kept my promise.
3.I am not healthy, and I do come to class. I have kept my promise.
4.I am not healthy, and I do not come to class. I have kept my promise.
In the second scenario, the statement is false, since the promise is broken. In other scenarios, the statement is true, since the promise is kept."
Thanks 😊
Are there any videos on your Steady platform that are not on UA-cam?
Yeah, all early access video are there.
Thanks for the videos Sir! Do you think they are good to watch to prepare for studying maths at university in the UK ?
Of course!
Go through Start Learning Mathematics and then to Real Analysis and Linear Algebra.
Also my website should help you there: thebrightsideofmathematics.com
@@brightsideofmaths Thanks Sir!
toutology
tautology
I am forced to subscribe for your channel because of content and your teaching style.
Nice :D
third part and im already lost
No, problem. You don't have to understand all the details in the logic part to move forward :)